"I really don't see that happening," Murphy said during a news conference in New Brunswick.

That was about two hours before Murphy, a Democrat, met with the top members of the Democrat-controlled state Legislature to discuss his $37.4 billion budget proposal -- his first as governor.

Murphy has clashed with the state's top two lawmakers -- state Senate President Stephen Sweeney and state Assembly Speaker Craig Coughlin -- over his plan for more than $1.5 billion in tax hikes to increase funding for education, transportation, and more.

There were no signs Friday that they reached a deal.

All three officials have until June 30 to agree on a budget, or the state might see its second straight shutdown -- meaning state parks, beaches, and agencies could be closed over the July 4 weekend and state workers would not be paid. Murphy has already ordered state agencies to prep shutdown contingency plans.

Murphy told NJ Advance Media that Friday's meeting "went well" as he walked out of his Trenton office. He declined to say anything else, and lawmakers did not immediately return calls seeking comment.

But a source said Sweeney, D-Gloucester, and Coughlin, D-Middlesex, once again told Murphy they do not plan to go ahead with at least two of his tax hike proposals: a millionaires tax and bringing the sales tax back to 7 percent from 6.62 percent.

Another source said lawmakers have been prepping plans for a budget proposal of their own -- one that would include a plan floated by Sweeney to raise taxes on the state's corporations by $700 million a year in lieu of a millionaires tax.

The sources spoke on condition of anonymity.

At his news conference earlier in the day, Murphy said he and lawmakers must have an "honest conversation" about the budget if they want to pay for initiatives they all want -- such as fully funding the state's public schools and expanding pre-kindergarten programs.

"We cannot continue down the same road, lurching from one year to the next, shortfall to shortfall, crisis to crisis, gimmick to gimmick, one shot to one shot," Murphy said. "We can't keep writing budgets in disappearing ink."

The governor also dismissed the idea that he and lawmakers have reached a stalemate.

"I don't see it that way," Murphy said. "If it were June 30 I might agree with you, but it's June 8."

Meanwhile, Murphy said he's not immediately opposed to the idea of a hike to the corporate business tax. But he said it would not be a stable funding source because it would expire after two years.

"When the idea came up, I didn't say, 'Heck no,'" Murphy said. "This is a temporary move, and that concerns me because we are funding long-term."

Sweeney first proposed the idea in March. His plan would place a 3 percent surcharge on companies that make more than $1 million in gross annual earnings. Currently, New Jersey's corporate business tax is 9 percent. Putting it up to 12 percent would give the state one of the highest corporate tax rates in the U.S.

Increasing taxes on businesses is more palatable than increasing taxes on people, Sweeney has argued -- especially because businesses saw a windfall from the recent federal tax law.

But Murphy also warned Friday that increasing the corporate business tax could keep companies from either staying in or moving to New Jersey.

"If someone employs a thousand, two thousand people, that impacts a huge number of people's lives," Murphy said. "That's homes that won't get bought. Restaurants that won't get the business. That's a tax we've got to be very careful with."